Free printable resources · Original practice

Proportion practice.
Compare one part to another.

Use a labeled image feature as a measuring unit. Enlarge the same illustration uniformly while preserving relative heights, widths and gaps.

3 still-life studies.
Relative measures + answers.

A task, a reference and a way to check it

Use a labeled image feature as a measuring unit. Enlarge the same illustration uniformly while preserving relative heights, widths and gaps.

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Choose the anchor before you enlarge

StudyAnchor changeScale factorTarget check
PR01 · Bottle and cupCup body width: 30 → 4545/30 = 1.5Bottle height: 60 × 1.5 = 90
PR02 · Books and pearLower book width: 72 → 108108/72 = 1.5Pear body height: 36 × 1.5 = 54
PR03 · Teapot and bowlBowl width: 30 → 4545/30 = 1.5Teapot width: 60 × 1.5 = 90

The cup body width excludes its handle. The pear body height excludes its stem. Those definitions keep the measured feature clear. A label is an image unit, not a claim about the dimensions of a real cup, pear or teapot. The original illustration uses a 100 × 80 unit canvas; the target frame is a uniform 150 × 120 enlargement.

For an image point (x,y), the enlarged local position is (1.5x,1.5y). The physical page placement adds an offset, but that does not change relative dimensions. Apply the same factor to the gap between two objects and to each object’s width and height. The reference also helps you notice a width that looks plausible alone but no longer agrees with its neighboring feature.

Work through the page

  1. Identify Reference Landmarks

    Begin by examining the reference image for each study, such as the bottle and cup or books and pear. Locate specific labeled landmarks that define the vertical and horizontal extents of the measured image features. Measure the distance between these points in units rather than inches or centimeters. For instance, note that the bottle height is sixty units while the cup’s full height is twenty units. The 30-unit cup width refers to its body, excluding its handle. In PR02 the 36-unit pear body height excludes its stem. This establishes a three to one ratio. Record these measurements carefully because they serve as the foundation for calculating the enlarged dimensions. Accurate identification of these relative widths and heights ensures that the subsequent scaling process maintains the correct proportions of the original line-based illustration without relying on real world object sizes.

  2. Calculate Enlargement Factors

    Determine the scaling factor by comparing the target dimensions to the reference measurements. If the target width for the cup body is forty five units and the reference width is thirty units, the enlargement factor is one point five. Apply this same factor to all corresponding dimensions to maintain aspect ratio. For the bottle, multiply the reference height of sixty units by one point five to get a target height of ninety units. Ensure that the factor is identical for both horizontal and vertical axes. This uniform scaling preserves the gaps between objects and the relative positions of landmarks, ensuring the final drawing is a precise mathematical enlargement of the original illustration rather than a distorted representation.

  3. Transfer to Student Copy Box

    Use the calculated target dimensions to guide your drawing within the student copy box. Start by marking the overall height and width based on the enlarged measurements, such as ninety units for the bottle height. Lightly sketch the bounding boxes for each object using the relative widths and heights derived from the reference. Focus on maintaining the exact image ratios as checks for accuracy. Do not attempt to replicate natural perspective or physical object sizes. Instead, concentrate on preserving the spatial relationships and landmark positions defined in the original line-based study. This method ensures that the teapot and bowl or books and pear maintain their correct proportional relationships in the enlarged format.

Checks that catch common errors

Watch forCheck instead
Using real world measurements instead of unit ratiosMeasure distances in arbitrary units from the reference image and apply the scaling factor to these units, ignoring actual physical sizes of bottles or books.
Applying different scaling factors for width and heightUse the same enlargement factor, such as one point five, for both horizontal and vertical dimensions to preserve the original aspect ratio and landmark positions.
Assuming natural perspective accuracyTreat the exact image ratios as proportional checks only, recognizing that the line-based studies do not claim to represent natural still-life perspective or physical object proportions.

Print a test sheet before the full pack

Choose the file matching the paper in your printer. Print the PDF at Actual size / 100%, turning off Fit, Shrink and browser headers. An SVG editor or browser can change its scale even though the file uses millimeter dimensions. Use the supplied calibration bars where present when a task depends on physical size; a screen preview alone does not establish printed size.

The packs contain the same individual pages in collection order. They are a convenient download, not extra different exercises. On coordinate plots, uniform scaling preserves the numerical positions relative to the axes. On image-copy tasks, keep the specified proportions and any stated source-to-target enlargement. Color is optional: labels, line positions and relative lightness also explain the references.

Useful answers

What is the enlargement factor for the teapot and bowl study?

The enlargement factor is one point five. The reference teapot width is sixty units and the bowl width is thirty units. If the target bowl width is forty five units, the teapot target width becomes ninety units.

How do I determine the target height for the cup?

Identify the reference cup height of twenty units and the reference bottle height of sixty units. If the target bottle height is ninety units, the cup target height is thirty units, maintaining the three to one ratio.

Are the printed images accurate to real object sizes?

No. These are original line illustrations with stated image landmarks. The cup-body width excludes its handle, and the pear-body height excludes the stem. The ratios describe these pictures, not universal sizes of real objects.

Are the answers and editable files free too?

Yes. Every linked worksheet, PDF, SVG and answer is free without signup. Original Zumola resources use CC BY 4.0: credit Zumola, link the license and indicate changes. Analytics consent is not required to download or use them.

Keep practicing

Further reading: Getty: visual elements and relationships. The downloadable illustrations, data tasks and geometry are original Zumola work.

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